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Finding the Fourth Proportional to 191,478.66, 264,068.52 and 119,865.20

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Solution

The fourth proportional to 191,478.66, 264,068.52 and 119,865.20 is: 165,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,478.66 : 264,068.52 = 119,865.20 : x
  2. Step 2: Convert to fraction form
    191,478.66/264,068.52 = 119,865.20/x
  3. Step 3: Cross multiply
    191,478.66x = 264,068.52 × 119,865.20
  4. Step 4: Simplify right side
    191,478.66x = 31,652,625,963.50
  5. Step 5: Solve for x
    x = 31,652,625,963.50/191,478.66
  6. Step 6: Final answer
    x = 165,306.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.